PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 3, Problem 16PS
Summary Introduction
To determine: The longer duration bond if given bonds yield 5% and if it yields 10%
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how does the equation for valuing a bond change if semiannual payments are made? find the value of a 10-year, semiannual payment, 10% coupon bond if nominal rd equal 13%.
A zera coupon bond with promised payment of $100 to be paid in 5 years has price equal to$80. What is the YTM?
Consider a bond paying a coupon rate of 10% per year semi-annually when the market interest rate is only 4% per half-year. The bond has three years until maturity. This initial payment is $1000. A: What is find the bond’s price today and 6 months time after the next coupon is paid? B: What is the total rate of return on the bond?
Chapter 3 Solutions
PRIN.OF CORPORATE FINANCE
Ch. 3 - (PRICE) In February 2009, Treasury 8.5s of 2020...Ch. 3 - (YLD) On the same day, Treasury 3.5s of 2018 were...Ch. 3 - (DURATION) What was the duration of the Treasury...Ch. 3 - (MDURATION) What was the modified duration of the...Ch. 3 - Bond prices and yields A 10-year bond is issued...Ch. 3 - Bond prices and yields The following statements...Ch. 3 - Bond prices and yields Construct some simple...Ch. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields A 10-year U.S. Treasury...
Ch. 3 - Bond returns If a bonds yield to maturity does not...Ch. 3 - Bond returns a. An 8%, five-year bond yields 6%....Ch. 3 - Prob. 10PSCh. 3 - Duration True or false? Explain. a....Ch. 3 - Duration Here are the prices of three bonds with...Ch. 3 - Duration Calculate the durations and volatilities...Ch. 3 - Prob. 14PSCh. 3 - Duration Find the spreadsheet for Table 3.4 in...Ch. 3 - Prob. 16PSCh. 3 - Spot interest rates and yields Which comes first...Ch. 3 - Prob. 18PSCh. 3 - Spot interest rates and yields Look again at Table...Ch. 3 - Prob. 20PSCh. 3 - Spot interest rates and yields Assume annual...Ch. 3 - Spot interest rates and yields A 6% six-year bond...Ch. 3 - Spot interest rates and yields Is the yield on...Ch. 3 - Prob. 24PSCh. 3 - Measuring term structure The following table shows...Ch. 3 - Term-structure theories The one-year spot interest...Ch. 3 - Term-structure theories Look again at the spot...Ch. 3 - Real interest rates The two-year interest rate is...Ch. 3 - Prob. 30PSCh. 3 - Bond ratings A bonds credit rating provides a...Ch. 3 - Prob. 32PSCh. 3 - Price and spot interest rates Find the arbitrage...Ch. 3 - Prob. 34PSCh. 3 - Prices and spot interest rates What spot interest...Ch. 3 - Prices and spot interest rates Look one more time...
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- You observe the following term structure: Effective Annual YTM 1-year zero-coupon bond 2-year zero-coupon bond 3-year zero-coupon bond 4-year zero-coupon bond 8.1% 8.2 8.3 8.4 a. If you believe that the term structure next year will be the same as today's, calculate the return on (i) the 1-year zero and (1i) the 4-year zero. (Do not round intermediate calculations. Round your answers to 1 decimal place.) One year return on 1-year bond One year return on 4-year bonds % % b. Which bond provides a greater expected 1-year return? O 1-year zero-coupon bond O 4-year zero-coupon bondarrow_forwardExample: Suppose that a bond has a face value of P100,000and its maturity date is 10 years from now. The coupon rate is5% payable semi-annually. Find the fair price of this bond, assuming that the annual market rate is 4%. Given: Coupon rate r= 5%, payable semi - annually Face Value = 100,000 Time to maturity = 10 years Number of periods = 2(10) = 20 Market rate = 4% The bondholder receives 20 payments of P2,500 each, and P100,000 at t = 10. Present Value of 100,000: F P =- 100000 = 67,556.42 1+ 0.0410 Present Value of 20 payments of Php2500 each: Convert 4% to equivalent semi-annual rate: 1+ jm 0.04 1= (1+=)" -1 - (1+ ) - 1 - 1 = m 2 | = 0.0404arrow_forwardConsider a bond with a duration of 8.8 years priced at $1,100. If market interest rates were to increase by 0.25%, what would be the predicted new bond price according to duration?arrow_forward
- How much will the coupon payments be of a 20-year $5,000 bond with a 4% coupon rate and semiannual payments?arrow_forwardAccording to the expectations theory, what will be the interest rate on a three-year bond if the two-year term permum is 1.0% while the three year term premium is 2.0%, and a one-year bond has an interest rate of 4% and is expected in have an interest rate of 5% next year and 6% in two year ? Select one: A. 5.0% B. 15.0% C. 4.09 D. 6.0%arrow_forwardYou observe the following term structure: Effective Annual YTM 1-year zero-coupon bond 8.1% 2-year zero-coupon bond 8.2 3-year zero-coupon bond 8.3 4-year zero-coupon bond 8.4 Required: If you believe that the term structure next year will be the same as today’s, calculate the return on (i) the 1-year zero and (ii) the 4-year zero. Which bond provides a greater expected 1-year return?arrow_forward
- Example: Suppose that a bond has a face value of P100,000and its maturity date is 10 years from now. The coupon rate is5% payable semi-annually. Find the fair price of this bond, assuming that the annual market rate is 4%. Given: Coupon rate r= 5%, payable semi - annually Face Value = 100.000 Time to maturity = 10 years Number of periods = 2|10) = 20 Market rate = 4% The bondholder receives 20 payments of P2,500 each, and P100,000 at t- 10. Present Value of 100,000: F 100000 = 67,556.42 1+ jm -1+0.0410 Present Value of 20 payments of Php2500 each: Convert 4% to equivalent semi-annual rate: 1 = (1+)"-1= (1+) - I = 0.0404 Direction: Answer the following just like the given example above. 1. Suppose that a bond has a face value of P220, 000 and its maturity date is 6 years from now. The coupon rate is 5% payable semi-annually. Find the fair price of this bond, assuming that the annual market rate is 8%. 2. Suppose that a bond has a face value of P50, 000 and its maturity date is 5 years…arrow_forwardA 4 year maturity bond with a 14% coupon rate can bought for $1200.i- What is the yield to maturity if the coupon is paid annually? ii- What if it is paid semiannually?arrow_forwardConsider a bond with a face value of $1,000. The coupon is paid semiannually and the marketinterest rate (effective annual interest rate) is 8 percent. How much would you pay for the bondif a. the coupon rate is 6 percent and the remaining time to maturity is 10 years?b. the coupon rate is 10 percent and the remaining time to maturity is 15 years?arrow_forward
- 1.If you buy a 5-week T-bill with a face value of Tk.1,500 for $990, what is the bond equivalent yield, assuming it is not a leap year?arrow_forwardConsider a bond paying a coupon rate of 10% per year semiannually when the market interest rate is only 4% per half-year. The bond has three years until maturity.a. Find the bond’s price today and six months from now after the next coupon is paid.b. What is the total (6-month) rate of return on the bond?arrow_forwardConsider a bond with a face value of $1,000. The coupon is paid semiannually and the market interest rate (effective annual interest rate) is 8 percent. How much would you pay for the bond if . the coupon rate is 6 percent and the remaining time to maturity is 10 years? the coupon rate is 10 percent and the remaining time to maturity is 15 years?arrow_forward
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